{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "2To_0Q86toj4"
   },
   "source": [
    "# Optimistic Gradient Descent in a Bilinear Min-Max Problem\n",
    "\n",
    "[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.sandbox.google.com/github/google-deepmind/optax/blob/main/examples/ogda_example.ipynb)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "MMvXmgsvTmcl"
   },
   "outputs": [],
   "source": [
    "import functools\n",
    "import jax\n",
    "import optax\n",
    "import matplotlib.pyplot as plt\n",
    "from jax import lax, numpy as jnp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "VqpOVQIgTuJ0"
   },
   "source": [
    "Consider the following min-max problem:\n",
    "\n",
    "$$\n",
    "\\min_{x \\in \\mathbb R^m} \\max_{y\\in\\mathbb R^n} f(x,y),\n",
    "$$\n",
    "\n",
    "where $f: \\mathbb R^m \\times \\mathbb R^n \\to \\mathbb R$ is a convex-concave function. The solution to such a problem is a saddle-point $(x^\\star, y^\\star)\\in \\mathbb R^m \\times \\mathbb R^n$ such that\n",
    "\n",
    "$$\n",
    "f(x^\\star, y) \\leq f(x^\\star, y^\\star) \\leq f(x, y^\\star).\n",
    "$$\n",
    "\n",
    "Standard gradient descent-ascent (GDA) updates $x$ and $y$ according to the following update rule at step $k$: \n",
    "\n",
    "$$\n",
    "x_{k+1} = x_k - \\eta_k \\nabla_x f(x_k, y_k) \\\\\n",
    "y_{k+1} = y_k + \\eta_k \\nabla_y f(x_k, y_k),\n",
    "$$\n",
    "\n",
    "where $\\eta_k$ is a step size. However, it's well-documented that GDA can fail to converge in this setting. This is an important issue because gradient-based min-max optimization is increasingly prevalent in machine learning (e.g., GANs, constrained RL). *Optimistic* GDA (OGDA) addresses this shortcoming by introducing a form of memory-based negative momentum:  \n",
    "\n",
    "$$\n",
    "x_{k+1} = x_k - 2 \\eta_k \\nabla_x f(x_k, y_k) + \\eta_k  \\nabla_x f(x_{k-1}, y_{k-1})  \\\\\n",
    "y_{k+1} = y_k + 2 \\eta_k \\nabla_y f(x_k, y_k) - \\eta_k \\nabla_y f(x_{k-1}, y_{k-1})).\n",
    "$$\n",
    "\n",
    "Thus, to implement OGD (or OGA), the optimizer needs to keep track of the gradient from the previous step. OGDA has been formally shown to converge to the optimum $(x_k, y_k) \\to (x^\\star, y^\\star)$ in this setting. The generalised form of the OGDA update rule is given by\n",
    "\n",
    "$$\n",
    "x_{k+1} = x_k - (\\alpha + \\beta) \\eta_k \\nabla_x f(x_k, y_k) + \\beta \\eta_k \\nabla_x f(x_{k-1}, y_{k-1})  \\\\\n",
    "y_{k+1} = y_k + (\\alpha + \\beta) \\eta_k \\nabla_y f(x_k, y_k) - \\beta \\eta_k \\nabla_y f(x_{k-1}, y_{k-1})),\n",
    "$$\n",
    "\n",
    "which recovers standard OGDA when $\\alpha=\\beta=1$. See [Mokhtari et al., 2019](https://arxiv.org/abs/1901.08511v2) for more details. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "WxcGo14yWhWn"
   },
   "source": [
    "$$\n",
    "\\pi^{k+1} = \\pi^k - \\tau_\\pi^k \\nabla_\\pi \\mathcal L(\\pi^k, \\mu^k) \\\\\n",
    "\\mu^{k+1} = \\mu^k + \\tau_\\mu^k \\nabla_\\mu \\mathcal L(\\pi^k_k, \\mu^k),\n",
    "$$\n",
    "\n",
    "$$\n",
    "\\pi^{k+1} = \\pi^k - 2\\tau_\\pi^k \\nabla_\\pi \\mathcal L(\\pi^k, \\mu^k) +  \\tau_\\pi^k \\nabla_\\pi \\mathcal L(\\pi^{k-1}, \\mu^{k-1})\\\\\n",
    "\\mu^{k+1} = \\mu^k + 2\\tau_\\mu^k \\nabla_\\mu \\mathcal L(\\pi^k_k, \\mu^k)+  \\tau_\\mu^k \\nabla_\\mu \\mathcal L(\\pi^{k-1}, \\mu^{k-1})\n",
    "$$\n",
    "\n",
    "where $\\eta_k$ is a step size. However, it's well-documented that GDA can fail to converge in this setting. This is an important issue because gradient-based min-max optimization is increasingly prevalent in machine learning (e.g., GANs, constrained RL). *Optimistic* GDA (OGDA) addresses this shortcoming by introducing a form of memory-based negative momentum:\n",
    "\n",
    "$$\n",
    "x_{k+1} = x_k - 2 \\eta_k \\nabla_x f(x_k, y_k) + \\eta_k  \\nabla_x f(x_{k-1}, y_{k-1})  \\\\\n",
    "y_{k+1} = y_k + 2 \\eta_k \\nabla_y f(x_k, y_k) - \\eta_k \\nabla_y f(x_{k-1}, y_{k-1})).\n",
    "$$\n",
    "\n",
    "We will now show an example.\n",
    "First, we define our function $f$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(params):\n",
    "    x, y = params\n",
    "    return x * y"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Second, we define our helper functions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def update(optimizer, state, _):\n",
    "    params, opt_state = state\n",
    "    grads = jax.grad(f)(params)\n",
    "    grads = grads.at[1].apply(jnp.negative)\n",
    "    updates, new_opt_state = optimizer.update(grads, opt_state, params)\n",
    "    new_params = optax.apply_updates(params, updates)\n",
    "    return (new_params, new_opt_state), params\n",
    "\n",
    "def optimize(optimizer, params, iters):\n",
    "    opt_state = optimizer.init(params)\n",
    "    _, params_hist = lax.scan(functools.partial(update, optimizer), (params, opt_state), length=iters)\n",
    "    return params_hist"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Third, we run our optimizers and plot the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, ax_params = plt.subplots()\n",
    "_, ax_distances = plt.subplots()\n",
    "\n",
    "params = jnp.array([1.0, 1.0])\n",
    "ax_params.scatter(*params, label=\"start\", color=\"black\")\n",
    "\n",
    "for label, optimizer in [\n",
    "    (\"SGD\", optax.sgd(0.1)),\n",
    "    (\"Optimistic GD\", optax.optimistic_gradient_descent(0.1)),\n",
    "    (\"Adam\", optax.adam(0.05, nesterov=True)),\n",
    "    (\"Optimistic Adam\", optax.optimistic_adam(0.05, 0.5, nesterov=True)),\n",
    "]:\n",
    "    params_hist = optimize(optimizer, params, 10**4)\n",
    "    distances_to_origin = jnp.hypot(*params_hist.T)\n",
    "    ax_params.plot(*params_hist.T, label=label, lw=1)\n",
    "    ax_distances.plot(distances_to_origin, label=label, lw=1)\n",
    "\n",
    "ax_params.legend()\n",
    "ax_distances.legend()\n",
    "ax_params.set(title=\"parameters\", aspect=\"equal\", xlim=(-3, 3), ylim=(-3, 3))\n",
    "ax_distances.set(xlabel=\"iteration\", ylabel=\"distance to origin\", yscale=\"log\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "last_runtime": {
    "build_target": "",
    "kind": "private"
   },
   "name": "ogda_example.ipynb",
   "private_outputs": true,
   "provenance": [
    {
     "file_id": "15hB4sFTdcHM7tf7l03PHZdwaP7AfdI8K",
     "timestamp": 1658099029490
    },
    {
     "file_id": "1Orjeh6PdEz2Vuj_XGGAStvkyck_zzT72",
     "timestamp": 1658096315530
    },
    {
     "file_id": "1v26CV4ivf38ZnYyd18PDnRFX4WMi-MX9",
     "timestamp": 1657803636509
    }
   ]
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
